Finite Group Databasebeta

C2×#19137337 #25255429

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#19137337

Splittings

SylowC43 ⋊ C2×#2330

Subgroups

subgroupG/H
centerC24C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC22×#125×C43C2
socle, prime radicalC24×C43C24
cosocleC23×C43C25
hypercenterC22×#125D43
hypocenterC43C2×#2330
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×#125

2398 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1264 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 328400);